Variations on a theme by a singing wineglass

Chen, Kuan-Wen; Wang, Chih-Kai; Lu, Chin-Ling; Chen, Yih-Yuh

doi:10.1209/epl/i2004-10493-9

Cited by 10 publications

(20 citation statements)

References 9 publications

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“…Despite the mathematical equivalence of the internal and external cases, in practice the frequencies were found to be slightly higher for the external cases. It has previously been suggested that the thickness of the glass causes this discrepancy [3], but our solution predicts frequency changes due to thickness to be less than 1%, and this effect is insufficient to explain the discrepancy we observe experimentally, which is closer to 5%. Instead, we suggest that the empirical virtual mass coefficient M differs slightly between internal and external cases, presumably due to slight three-dimensional effects not included in this analysis.…”

contrasting

confidence: 91%

“…Building upon Rayleigh's Theory of Sound [1], French [2] used energy conservation to develop the first mathematical model of a glass harp. Since then, researchers have confirmed the French model through experiment [3,5,6] and explored some details of the dynamics at the finger-glass interface [7,8]. Some work has also been done to quantify the pitches that result from changing the distribution of water in and around the glass [3,6].…”

mentioning

confidence: 99%

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Inverted glass harp

Quinn

Rosenberg

2015

Phys. Rev. E

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We present an analytical treatment of the acoustics of liquid-filled wine glasses, or "glass harps." The solution is generalized such that under certain assumptions it reduces to previous glass harp models, but also leads to a proposed musical instrument, the "inverted glass harp," in which an empty glass is submerged in a liquid-filled basin. The versatility of the solution demonstrates that all glass harps are governed by a family of solutions to Laplace's equation around a vibrating disk. Tonal analyses of recordings for a sample glass are offered as confirmation of the scaling predictions.

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contrasting

confidence: 91%

mentioning

confidence: 99%

Inverted glass harp

Quinn

Rosenberg

2015

Phys. Rev. E

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“…Three cumulative distributions of ejected droplet sizes are presented on Fig. 11a for the bowls Tibet 1, 3 and 4 resonating in their fundamental deformation modes (2,0). Assuming that these distributions are Gaussian, appropriate fits to the cumulative distribution functions yield the parameters of the Gaussian distribution functions plotted in the inset of Fig.…”

Section: Surface Fracturementioning

confidence: 99%

Tibetan singing bowls

Terwagne¹,

Bush²

2011

Nonlinearity

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We present the results of an experimental investigation of the acoustics and fluid dynamics of Tibetan singing bowls. Their acoustic behavior is rationalized in terms of the related dynamics of standing bells and wine glasses. Striking or rubbing a fluid-filled bowl excites wall vibrations, and concomitant waves at the fluid surface. Acoustic excitation of the bowl's natural vibrational modes allows for a controlled study in which the evolution of the surface waves with increasing forcing amplitude is detailed. Particular attention is given to rationalizing the observed criteria for the onset of edge-induced Faraday waves and droplet generation via surface fracture. Our study indicates that drops may be levitated on the fluid surface, induced to bounce on or skip across the vibrating fluid surface.

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“…Despite their commonplace ubiquity, current theoretical understanding of their vibrational characteristics is incomplete. Existing literature [22,23,[27][28][29][30] typically assumes specific forms and coefficients for dynamical equations, fluid damping is neglected, or system geometry is vastly simplified, compromising predictive power; more general models typically rely on finite-element computations offering limited tractability and insight. We seek to contribute in closing this lacuna in the current paper.…”

Section: Introductionmentioning

confidence: 99%

Comprehensive vibrational dynamics of half-open fluid-filled shells

et al. 2019

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Fluid-filled shells are near-ubiquitous in natural and engineered structures—a familiar example is that of glass harps comprising partially filled wineglasses or glass bowls, whose acoustic properties are readily noticeable. Existing theories modelling the mechanical properties of such systems under vibrational load either vastly simplify shell geometry and oscillatory modal shapes to admit analytical solutions or rely on finite-element black-box computations for general cases, the former yielding poor accuracy and the latter offering limited tractability and physical insight. In the present study, we derive a theoretical framework encompassing elastic shell deformation with structural and viscous dissipation, accommodating arbitrary axisymmetric shell geometries and fluid levels; reductions to closed-form solutions under specific assumptions are shown to be possible. The theory is extensively verified against a range of geometries, fluid levels and fluid viscosities in experiments; an extension of the model encompassing additional solid objects within the fluid-filled shell is also considered and verified. The presented theoretical advance in describing vibrational response is relevant in performance evaluation for engineered structures and quality validation in manufacturing.

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Variations on a theme by a singing wineglass

Cited by 10 publications

References 9 publications

Inverted glass harp

Inverted glass harp

Tibetan singing bowls

Comprehensive vibrational dynamics of half-open fluid-filled shells

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